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Finding the Fourth Proportional to 428,478.36, 643,102.98 and 228,969.27

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Solution

The fourth proportional to 428,478.36, 643,102.98 and 228,969.27 is: 343,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,478.36 : 643,102.98 = 228,969.27 : x
  2. Step 2: Convert to fraction form
    428,478.36/643,102.98 = 228,969.27/x
  3. Step 3: Cross multiply
    428,478.36x = 643,102.98 × 228,969.27
  4. Step 4: Simplify right side
    428,478.36x = 147,250,819,865.43
  5. Step 5: Solve for x
    x = 147,250,819,865.43/428,478.36
  6. Step 6: Final answer
    x = 343,659.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.